2,169 research outputs found
Gauge invariant investigation of the nature of Confinement
We observe a strong correlation between the decrease in the number of action
density peaks in SU(2) Yang-Mills configurations with cooling and that of the
string tension. The nature and distribution of these peaks is investigated. The
relationship with monopole currents after the abelian projection is also
considered.Comment: uuencoded and Z-compressed file of the Postcript version of our
contribution to LATTICE 95. 4 pages of text and 4 figure
Higgs bundles for the Lorentz group
Using the Morse-theoretic methods introduced by Hitchin, we prove that the
moduli space of \SO_0(1,n)-Higgs bundles when is odd has two connected
components
Volume dependence in 2+1 Yang-Mills theory
We present the results of an analysis of a 2+1 dimensional pure SU(N)
Yang-Mills theory formulated on a 2-dimensional spatial torus with non-trivial
magnetic flux. We focus on investigating the dependence of the electric-flux
spectrum, extracted from Polyakov loop correlators, with the spatial size l,
the number of colours N, and the magnetic flux m. The size of the torus acts a
parameter that allows to control the onset of non-perturbative effects. In the
small volume regime, where perturbation theory holds, we derive the one-loop
self-energy correction to the single-gluon spectrum, for arbitrary N and m. We
discuss the transition from small to large volumes that has been investigated
by means of Monte-Carlo simulations. We argue that the energy of electric flux
e, for the lowest gluon momentum, depends solely on e/N and on the
dimensionless variable x=lambda N l, with lambda the 't Hooft coupling. The
variable x can be interpreted as the dimensionless 't Hooft coupling for an
effective box size given by Nl. This implies a version of reduction that allows
to trade l by N without modifying the electric-flux energy.Comment: 7 pages, 3 figures. Proceedings of the 30th International Symposium
on Lattice Field Theory, June 24 - 29, 2012, Cairns, Australia. Minor change:
Fig. 1 modified to correctly account for the sign convention in Eq. (2.5
Ultraviolet filtering of lattice configurations and applications to Monte Carlo dynamics
We present a detailed study of a filtering method based upon Dirac
quasi-zero-modes in the adjoint representation. The procedure induces no
distortions on configurations which are solutions of the euclidean classical
equations of motion. On the other hand, it is very effective in reducing the
short-wavelength stochastic noise present in Monte Carlo generated
configurations. After testing the performance of the method in various
situations, we apply it successfully to study the effect of Monte Carlo
dynamics on topological structures like instantons.Comment: 39 pages, 15 figure
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